|"connected to the network and shows 2 networks"|
Where does it show two networks. Are you doing some kind of NMAP to scan for networks?
"have only one modem and one router....and no internet access"
And, if you only have one network why do you have a modem and router? Routers are used to connect networks. You are probably seeing a network on the other side of your router. It may not be NATed properly.